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Delete Columns to Make Sorted

Easy

You receive an array of n strings strs , all of the same length.

The texts can be arranged such that there is one on each line, making a grid.

For example, strs = ["abc", "bce", "cae"] can be arranged as follows:

abc
bce
cae

You want to delete the columns that are not sorted lexicographically . In the above example ( 0-indexed ), columns 0 ( 'a' , 'b' , 'c' ) and 2 ( 'c' , 'e' , 'e' ) are sorted, while column 1 ( 'b' , 'c' , 'a' ) is not, so you would delete column 1.

Produce the number of columns that you will delete .

Example 1

Input: strs = ["cba","daf","ghi"]

Output: 1

Explanation: The grid looks as follows:

cba
daf
ghi

Columns 0 and 2 are sorted, but column 1 is not, so you only need to delete 1 column.

Example 2

Input: strs = ["a","b"]

Output: 0

Explanation: The grid looks as follows:

a
b

Column 0 is the only column and is sorted, so you will not delete any columns.

Example 3

Input: strs = ["zyx","wvu","tsr"]

Output: 3

Explanation: The grid looks as follows:

zyx
wvu
tsr

All 3 columns are not sorted, so you will delete all 3.

Constraints

  • n == strs.length
  • 1 <= n <= 100
  • 1 <= strs[i].length <= 1000
  • strs[i] consists of lowercase English letters.

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